Skip to main content
Glite Dictionary
denumerable

denumerable

9.9
A group of things that can be counted in a list like 1, 2, 3
  • adjective
  • /dɪˈnjuːmərəbl/
  • Specialized
translation icon : numerable
  • In mathematics, we often work with denumerable sets to express clear and finite concepts.

Examples

  • The set of natural numbers is denumerable, meaning it can be counted one by one.

  • So these are going to be our basis States and they're non denumerable basis states.

  • The concept of a denumerable set is fundamental in understanding different types of infinities.

Synonyms

countable
vsdenumerable
1 2.9

Present as separate things you can number, like an apple or a book

is the term preferred in mathematics to stress countability
enumerable
vsdenumerable
7.3

Can be counted one by one

is used mainly in mathematical contexts rather than ordinary use
numerable
vsdenumerable
6.2

Can be counted, like people or objects

is more associated with formal mathematical usage than general counting

Antonyms

infinite
183 4.2

Without limits or end

uncountable
  • Specialized
1 9.9

A set of items that is too large to list one by one

Surface Forms

denumerable positive

Morphology

denumerable = numerable (semi-transparent) = de + numer + able

Formed by prefixing 'de-' to 'numerable' (able to be numbered); the combining form 'numer' and the Latin-derived prefix 'de-' may not be fully transparent to average learners, and the term is somewhat specialized.

Etymology

Denumerable comes from the Latin root numer meaning 'number', the same root as in number. So, denumerable means 'able to be counted' and refers to things you can list one after another.